After reflecting a point (5, -7) across the X-axis, what is the resulting point?

After reflecting a point (5, -7) across the X-axis, what is the resulting point?

• A. (5, -7)
• B. (-5, 7)
• C. (5, 7)
• D. (-5, -7)

Answer: (C)

To determine the resulting point after reflecting the point (5, -7) across the X-axis, it's essential to understand how reflection across the X-axis affects coordinates. When a point is reflected across the X-axis, the x-coordinate remains unchanged, while the y-coordinate is inverted. This means that if the original point has coordinates (x, y), after reflection, the new point will have coordinates (x, -y). In this case, the original point is (5, -7). Here, the x-coordinate is 5, which stays the same after reflection. The y-coordinate is -7, and when reflected across the X-axis, this y-coordinate becomes 7 (the negative sign is removed). Therefore, the resulting coordinates after the reflection are (5, 7). This process confirms that the correct result of reflecting the point (5, -7) across the X-axis is indeed (5, 7).

To determine the resulting point after reflecting the point (5, -7) across the X-axis, it's essential to understand how reflection across the X-axis affects coordinates.

When a point is reflected across the X-axis, the x-coordinate remains unchanged, while the y-coordinate is inverted. This means that if the original point has coordinates (x, y), after reflection, the new point will have coordinates (x, -y).

In this case, the original point is (5, -7). Here, the x-coordinate is 5, which stays the same after reflection. The y-coordinate is -7, and when reflected across the X-axis, this y-coordinate becomes 7 (the negative sign is removed). Therefore, the resulting coordinates after the reflection are (5, 7).

This process confirms that the correct result of reflecting the point (5, -7) across the X-axis is indeed (5, 7).